ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

• 1 A
• 12 B
• 5 C
• 29 D

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

• 3 A
• 1 B
• 2 C
• 4 D

• A = C A
• A = B B
• B = C C
• None of these D

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

The set {1,-1,i,-i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The set (Z, +) forms a group

• Forms a group w.r.t. addition A
• Non commutative group w.r.t. multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

• A = B A
• B = C B
• A = C C
• None of these D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D